(dy}{dx}=-\frac{ay)/x

Lösung

\frac{d y}{d x} = - \frac{a y}{x}

y = c_{1} x^{- a}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{a y}{x}

Solve separable ODE:

y = c_{1} x^{- a}

y = c_{1} x^{- a}

y \cdot y^{^{'}} - 2 x = sin (x)

\frac{d y}{d x} = 0.125 (y - 3), y (0) = 5

e^{x} \frac{d y}{d x} - sec (y) - x sec (y) = 0

2 y y^{^{'}} + 1 = e^{x - 1}

y^{^{'}} = 8 y - 5